Combine the like terms: 5p + 7q - 3p + 6q.

• A. 8p + 13q
• B. 2p + 13q
• C. 3p + 13q
• D. 5p + 13q

Answer: (B)

To combine like terms in the expression (5p + 7q - 3p + 6q), start by grouping the coefficients of the (p) terms and the (q) terms separately.

First, look at the (p) terms:

• You have (5p) and (-3p).

• To combine these, subtract (3) from (5):

[

5p - 3p = 2p

]

Next, examine the (q) terms:

• You have (7q) and (6q).

• To combine these, add (7) to (6):

[

7q + 6q = 13q

]

Now, put the combined terms together:

[

2p + 13q

]

Thus, the final simplified expression is (2p + 13q). This makes option B the correct choice because it accurately represents the combined like terms of the original expression.